Question

6. Which is the solution for the system below.

Show your work
x = -4y + 10
x = 2y - 14
A) (-6, 4)
B) (4, -6)
C) (6, -2)
D) (-2, 6)
E) None of the above

Answer 1

algebra

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x = -4y + 10

x = 2y - 14

both of equations are equivalent,

-4y + 10 = 2y - 14

2y + 4y = 24

6y = 24

y = 4

substitute y = 4 into one of them, choose the first equation !

x = -4y + 10

x = -4(4) + 10

x = -6

here, we got the solution {x , y} = {-6 , 4}

____

Answer 2

A) (-6, 4)

Explanation:

x = -4y + 10;

x = 2y - 14

2y - 14 = -4y + 10

6y = 24

y = 4

x = -4(4) + 10

x = -6

Answer: (-6, 4)